A five-year bond with a yield of 7% (continuously compounded)
pays a 5.5% coupon at the end of each year.
What is the bond’s price?
What is the bond’s duration?
Use the duration to calculate the effect on the bond’s price of
a 0.3% decrease in its yield.
Recalculate the bond’s price on the basis of a 6.7% per annum
yield and verify that the result is in agreement with your answer
to (c).
A five-year bond with a yield of 11% (continuously compounded)
pays an 8% coupon at the end of each year. a) What is the bond’s
price? b) What is the bond’s duration? c) Use the duration to
calculate the effect on the bond’s price of a 0.2% decrease in its
yield. d) Recalculate the bond’s price on the basis of a 10.8% per
annum yield and verify that the result is in agreement with your
answer to (c).
**Can you...
A five-year bond with a yield of 11% (compounded annually) pays
an 8%
coupon at the end of each year.
(a) What is the bond’s price?
(b) What is the bond’s duration?
(c) Use the duration to calculate the effect on the bond’s price
of a 0.2% de-
crease in its yield.
(d) Recalculate the bond’s price on the basis of a 10.8% per
annum yield and
verify that the result is in agreement with your answer to
(c).
Face...
Assume a 7-year zero coupon bond with $1000 face value with a
yield of 7% (continuously compounding). Wherever applicable, use e
= 2.71828.
• What is the price of the bond?
• Use the duration to calculate the effect on the bond’s price
of a 0.5% decrease on its yield.
• Recalculate the bond’s price on the basis of a 6.5% per annum
yield and verify that your result in (b) is a good approximation of
the change in the...
You buy a five-year bond that has a 7% yield to maturity and a
7% coupon paid annually. In one year, promised yields to maturity
have fallen to 6%. What is your holding period return? Answer in
percentages with two decimal places.
A 5-year bond with a yield of 10% (continuously compounded),
with a face value of $100, pays an 10% coupon at the end of each
year.
What is the bond’s price?
A 5-year bond with a yield of 10% (continuously compounded) pays
an 10% coupon at the end of each year.
What is the bond’s duration?
A 5-year bond with a yield of 10% (continuously
compounded), with a face value of $100, pays an
10% coupon at the end of each...
A six-year bond, with a Face Value of $1000 has yield rate of 5%
compounded continuously, and coupon rate of 6% compounded
semi-annually, paid every half-year. You are required to: a)
compute the price of bond b) compute the the duration of bond c)
compute the convexity of bond. d) Use duration to estimate the
effect of a 1% increase in the yield on the price of bond. e) Use
convexity to estimate the eect of a 1% increase in...
A stock sells for $84 and pays a continuously compounded 3%
dividend. The continuously compounded risk-free rate is 5%.
a. What is the price of a pre-paid forward contract for one
share to be delivered six months (.5 year) from today?
b. What is the price of a forward contract that expires six
months from today?
c.Describe the transactions you would undertake to use the stock
and bonds (borrowing and lending) to construct a synthetic long
forward contract for one...
Consider a five year bond with a 10% coupon that is presently
trading at a yield to maturity of 8%. If market rates do not
change, one year from now the price of this bond _____________.
Will be higher
Will be lower
Will be the same
Cannot be determined from the information given
A bond’s sensitivity to interest rate changes _____________ at
a(n) _______________ rate as maturity lengthens.
increases; decreasing
decreases; decreasing
increases, increasing
decreases, decreasing
What is the yield of a 3-year bond with a coupon rate of 7% and
face value of $100? Assume the bond is currently trading at a price
of $100, and that coupons are paid semi-annually. Assume
semi-annual compounding.